This article is cited in 3 papers

On Resolving Boundary Value Problems of Nonlinear Theory for Timoshenko Types Shallow Shells

S. N. Timergaliev

Kama State Academy of Engineering and Economics

Abstract: The article is devoted to proving the existence of solutions of geometrically nonlinear boundary value problem for Timoshenko type shallow shells which take into account the deformations of cross displacements. Equilibrium equations are reduced to a system of nonlinear singular integral equations on flat region, the resolution of which is established with the help of compressed reflections principle.

Keywords: boundary value problem, Timoshenko type shallow shells, equilibrium equations, generalized solution, operator, integral equations, compressed reflections principle.

UDC: 517.958:539.3

Received: 22.11.2007

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